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Finding the Fourth Proportional to 207.87, 288.04 and 205.26

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Solution

The fourth proportional to 207.87, 288.04 and 205.26 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.87 : 288.04 = 205.26 : x
  2. Step 2: Convert to fraction form
    207.87/288.04 = 205.26/x
  3. Step 3: Cross multiply
    207.87x = 288.04 × 205.26
  4. Step 4: Simplify right side
    207.87x = 59,123.09
  5. Step 5: Solve for x
    x = 59,123.09/207.87
  6. Step 6: Final answer
    x = 284.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.